Edit Profile (opens in new tab) Iserles, Arieh Compute Distance To: Compute Author ID: iserles.arieh Published as: Iserles, Arieh; Iserles, A. Homepage: http://www.damtp.cam.ac.uk/user/na/people/Arieh/Arieh_Iserles/Arieh_Iserles.html External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef Documents Indexed: 205 Publications since 1977, including 6 Books 50 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 76 Co-Authors with 141 Joint Publications 2,751 Co-Co-Authors all top 5 Co-Authors 111 single-authored 43 Nørsett, Syvert Paul 14 Condon, Marissa 12 Zanna, Antonella 11 Deaño, Alfredo 8 Gao, Jing 7 Buhmann, Martin Dietrich 7 Hairer, Ernst 6 Kropielnicka, Karolina 5 Bloch, Anthony Michael 5 Huybrechs, Daan 5 Saff, Edward Barry 5 Singh, Pranav 4 Böttcher, Albrecht 4 Cantero, María José 4 Liu, Yunkang 4 Webb, Marcus 3 Brunner, Hermann 3 Celledoni, Elena 3 Grudsky, Sergei Mikhailovich 3 Sanz-Serna, Jesús María 2 Bader, Philipp 2 Baxter, Brad J. C. 2 Budd, Christopher John 2 Calvo, M. P. 2 Fokas, Athanassios S. 2 Hochbruck, Marlis 2 Koch, Per Erik 2 Liu, Xiaoyan 2 Lubich, Christian 2 Paz Calvo, Mari 2 Powell, Michael James David 2 Strang, William Gilbert 2 Stuart, Andrew M. 2 Wang, Bin 2 Wu, Xinyuan 1 Adcock, Ben 1 Blanes, Sergio 1 Blatt, Hans-Peter 1 Brînzănescu, Vasile 1 Broomhead, David S. 1 Casas, Fernando 1 Celsus, Andrew F. 1 Davis, Philip J. 1 DeVore, Ronald A. 1 Engquist, Bjorn E. 1 Feldstein, Alan 1 Gautschi, Walter 1 Gilvey, Benjamin 1 Gómez-Ullate, David 1 Levi, Decio 1 Liu, Changying 1 Maczynski, Kornel 1 Marsden, Jerrold Eldon 1 Marthinsen, Arne 1 McLachlan, Robert I. 1 Munthe-Kaas, Hans Z. 1 Olver, Peter John 1 Olver, Sheehan Shakiban 1 Orel, Bojan 1 Peplow, Andrew T. 1 Quispel, Gilles Reinout Willem 1 Quispel, Reinout 1 Ramaswami, Geetha 1 Ramos, Alberto Gil Couto Pimentel 1 Rasmussen, Atgeirr Flø 1 Ratiu, Tudor Stefan 1 Smitheman, S. A. 1 Söderlind, Gustaf 1 Sofroniou, Mark 1 Süli, Endre E. 1 Tempesta, Piergiulio 1 Terjéki, József 1 Trevelyan, Jon 1 Tse, P. S. P. 1 Üsküplü Altınbaşak, Sevda 1 Williamson, R. A. 1 Winternitz, Pavel 1 Xu, Tao all top 5 Serials 40 Acta Numerica 24 IMA Journal of Numerical Analysis 11 Mathematics of Computation 10 BIT 9 SIAM Journal on Numerical Analysis 8 Foundations of Computational Mathematics 7 Applied Numerical Mathematics 6 Journal of Computational and Applied Mathematics 6 SIAM Journal on Mathematical Analysis 4 Numerische Mathematik 4 Transactions of the American Mathematical Society 3 Journal of Computational Physics 3 Journal of Mathematical Analysis and Applications 3 Journal of Computational Mathematics 3 European Journal of Applied Mathematics 3 Annals of Numerical Mathematics 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Computers & Mathematics with Applications 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal of Approximation Theory 2 Journal of Complexity 2 Constructive Approximation 2 Journal of Integral Equations and Applications 2 Numerical Algorithms 2 Advances in Computational Mathematics 2 Discrete and Continuous Dynamical Systems 2 Oberwolfach Reports 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 BIT. Nordisk Tidskrift for Informationsbehandling 2 London Mathematical Society Lecture Note Series 2 Cambridge Texts in Applied Mathematics 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Rocky Mountain Journal of Mathematics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Calcolo 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Utilitas Mathematica 1 Bulletin of the Greek Mathematical Society 1 Physica D 1 COMPEL 1 SIAM Journal on Matrix Analysis and Applications 1 CWI Quarterly 1 Journal of Physics A: Mathematical and General 1 Bulletin. The Institute of Mathematics and its Applications 1 Notices of the American Mathematical Society 1 Celestial Mechanics and Dynamical Astronomy 1 New Zealand Journal of Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 The New York Journal of Mathematics 1 Methods and Applications of Analysis 1 The Journal of Fourier Analysis and Applications 1 European Mathematical Society Newsletter 1 LMS Journal of Computation and Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 HERMIS-\(\mu\pi\). Hellenic European Research on Mathematics and Informatics Science 1 Applied Mathematics and Mathematical Computation 1 CRM Proceedings & Lecture Notes 1 Statistics: Textbooks and Monographs 1 Science China. Mathematics 1 S\(\vec{\text{e}}\)MA Journal 1 Journal of Computational Dynamics 1 Research in the Mathematical Sciences 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Other Titles in Applied Mathematics 1 Transactions of Mathematics and its Applications all top 5 Fields 202 Numerical analysis (65-XX) 78 Ordinary differential equations (34-XX) 53 General and overarching topics; collections (00-XX) 41 Approximations and expansions (41-XX) 28 Partial differential equations (35-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 23 Dynamical systems and ergodic theory (37-XX) 19 Special functions (33-XX) 9 Functions of a complex variable (30-XX) 7 Integral equations (45-XX) 6 Nonassociative rings and algebras (17-XX) 6 Topological groups, Lie groups (22-XX) 5 Operator theory (47-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Difference and functional equations (39-XX) 4 Optics, electromagnetic theory (78-XX) 3 Real functions (26-XX) 2 Combinatorics (05-XX) 2 Geometry (51-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 194 Publications have been cited 2,634 times in 1,536 Documents Cited by ▼ Year ▼ Lie-group methods. Zbl 1064.65147Iserles, Arieh; Munthe-Kaas, Hans Z.; Nørsett, Syvert P.; Zanna, Antonella 174 2000 Efficient quadrature of highly oscillatory integrals using derivatives. Zbl 1145.65309Iserles, Arieh; Nørsett, Syvert P. 164 2005 A first course in the numerical analysis of differential equations. 2nd ed. Zbl 1171.65060Iserles, Arieh 130 2009 On the generalized pantograph functional-differential equation. Zbl 0767.34054Iserles, A. 112 1993 On the solution of lienar differential equations in Lie groups. Zbl 0958.65080Iserles, A.; Nørsett, S. P. 107 1999 On quadrature methods for highly oscillatory integrals and their implementation. Zbl 1076.65025Iserles, A.; Nørsett, S. P. 103 2004 On polynomials orthogonal with respect to certain Sobolev inner products. Zbl 0734.42016Iserles, Arieh; Koch, P. E.; Nørsett, Syvert P.; Sanz-Serna, J. M. 103 1991 Stability of the discretized pantograph differential equation. Zbl 0774.34057Buhmann, Martin; Iserles, Arieh 60 1993 Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems. Zbl 1341.65029Wang, Bin; Iserles, Arieh; Wu, Xinyuan 60 2016 On the numerical quadrature of highly-oscillating integrals. I: Fourier transforms. Zbl 1061.65149Iserles, Arieh 57 2004 The pantograph equation in the complex plane. Zbl 0891.34072Derfel, G.; Iserles, A. 43 1997 On neutral functional-differential equations with proportional delays. Zbl 0873.34066Iserles, Arieh; Liu, Yunkang 42 1997 Geometric integration: Numerical solution of differential equations on manifolds. Zbl 0933.65142Budd, C. J.; Iserles, A. 36 1999 Numerical solution of isospectral flows. Zbl 0907.65067Calvo, Mari Paz; Iserles, Arieh; Zanna, Antonella 34 1997 On the numerical quadrature of highly-oscillating integrals. II: Irregular oscillators. Zbl 1069.65148Iserles, Arieh 34 2005 From high oscillation to rapid approximation. I: Modified Fourier expansions. Zbl 1221.65348Iserles, Arieh; Nørsett, Syvert P. 30 2008 Quadrature methods for multivariate highly oscillatory integrals using derivatives. Zbl 1095.65019Iserles, Arieh; Nørsett, Syvert P. 28 2006 On the theory of parallel Runge-Kutta methods. Zbl 0712.65071Iserles, Arieh; Nørsett, Syvert P. 28 1990 Stability and dynamics of numerical methods for nonlinear ordinary differential equations. Zbl 0686.65054Iserles, A. 28 1990 On the implementation of the method of Magnus series for linear differential equations. Zbl 0933.65077Iserles, A.; Marthinsen, A.; Nørsett, S. P. 27 1999 On the global error of discretization methods for highly-oscillatory ordinary differential equations. Zbl 1027.65107Iserles, Arieh 26 2002 Approximating the exponential from a Lie algebra to a Lie group. Zbl 0956.65009Celledoni, Elena; Iserles, Arieh 25 2000 Highly oscillatory quadrature: the story so far. Zbl 1119.65317Iserles, A.; Nørsett, S. P.; Olver, S. 24 2006 Solving linear ordinary differential equations by exponentials of iterated commutators. Zbl 0562.65046Iserles, A. 23 1984 Exact and discretized stability of the pantograph equation. Zbl 0880.65058Iserles, Arieh 23 1997 Generalized leapfrog methods. Zbl 0637.65089Iserles, A. 22 1986 The optimal accuracy of difference schemes. Zbl 0573.65071Iserles, Arieh; Strang, Gilbert 22 1983 Stability and asymptotic stability of functional-differential equations. Zbl 0832.34080Iserles, Arieh; Terjéki, József 22 1995 B-series methods cannot be volume-preserving. Zbl 1128.65054Iserles, A.; Quispel, G. R. W.; Tse, P. S. P. 21 2007 Numerical analysis of delay differential equations with variable delays. Zbl 0828.65083Iserles, Arieh 21 1994 Think globally, act locally: Solving highly-oscillatory ordinary differential equations. Zbl 1016.65050Iserles, Arieh 20 2002 Methods for the approximation of the matrix exponential in a Lie-algebraic setting. Zbl 1009.65040Celledoni, Elena; Iserles, Arieh 20 2001 Highly oscillatory problems. Zbl 1170.37002 20 2009 The spectral problem for a class of highly oscillatory Fredholm integral operators. Zbl 1185.45002Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P. 20 2010 Computing highly oscillatory integrals. Zbl 1400.65004Deaño, Alfredo; Huybrechs, Daan; Iserles, Arieh 20 2018 Orthogonality and approximation in a Sobolev space. Zbl 0749.41030Iserles, Arieh; Sanz-Serna, J. M.; Koch, P. E.; Nørsett, Syvert P. 19 1990 A unified approach to spurious solutions introduced by time discretization. I: Basic theory. Zbl 0736.65050Iserles, A.; Peplow, A. T.; Stuart, A. M. 19 1991 Preserving algebraic invariants with Runge-Kutta methods. Zbl 0969.65069Iserles, Arieh; Zanna, Antonella 19 2000 On pantograph integro-differential equations. Zbl 0816.45005Iserles, Arieh; Liu, Yunkang 18 1994 On the dynamics of a discretized neutral equation. Zbl 0759.65056Buhmann, M. D.; Iserles, A. 18 1992 Effective approximation for the semiclassical Schrödinger equation. Zbl 1302.65230Bader, Philipp; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav 18 2014 Efficient computation of the matrix exponential by generalized polar decompositions. Zbl 1084.65040Iserles, Arieh; Zanna, Antonella 17 2005 Runge-Kutta methods for neutral differential equations. Zbl 0834.65061Buhmann, M. D.; Iserles, A.; Nørsett, S. P. 16 1993 Runge-Kutta methods for orthogonal and isospectral flows. Zbl 0871.65074Calvo, M. P.; Iserles, A.; Zanna, A. 16 1996 How large is the exponential of a banded matrix? Zbl 0968.22016Iserles, Arieh 16 2000 On Cayley-transform methods for the discretization of Lie-group equations. Zbl 1014.65060Iserles, A. 16 2001 Explicit Magnus expansions for nonlinear equations. Zbl 1095.65060Casas, Fernando; Iserles, Arieh 16 2006 Order stars. Zbl 0743.65062Iserles, Arieh; Nørsett, Syvert P. 15 1991 Qualitative numerical analysis of ordinary differential equations. Zbl 0856.65082Iserles, Arieh; Zanna, Antonella 15 1996 From high oscillation to rapid approximation. III: Multivariate expansions. Zbl 1188.65149Iserles, Arieh; Nørsett, Syvert P. 15 2009 A first course in the numerical analysis of differential equations. Zbl 0841.65001Iserles, Arieh 14 1995 Expansions that grow on trees. Zbl 1126.34310Iserles, Arieh 14 2002 On highly oscillatory problems arising in electronic engineering. Zbl 1172.78009Condon, Marissa; Deaño, Alfredo; Iserles, Arieh 14 2009 On transformations and zeros of polynomials. Zbl 0754.26007Iserles, Arieh; Nørsett, Syvert P.; Saff, E. B. 13 1991 On nonlinear delay differential equations. Zbl 0804.34065Iserles, A. 13 1994 A fast and simple algorithm for the computation of Legendre coefficients. Zbl 1211.33001Iserles, Arieh 13 2011 On the theory of biorthogonal polynomials. Zbl 0662.42017Iserles, Arieh; Nørsett, Syvert P. 13 1988 On second-order differential equations with highly oscillatory forcing terms. Zbl 1194.34019Condon, Marissa; Deaño, Alfredo; Iserles, Arieh 13 2010 Symmetric and arbitrarily high-order Birkhoff-Hermite time integrators and their long-time behaviour for solving nonlinear Klein-Gordon equations. Zbl 1380.65052Liu, Changying; Iserles, Arieh; Wu, Xinyuan 13 2018 Equilibria of Runge-Kutta methods. Zbl 0693.65047Hairer, E.; Iserles, A.; Sanz-Serna, J. M. 13 1990 Zeros of expansions in orthogonal polynomials. Zbl 0679.33007Iserles, A.; Saff, E. B. 12 1989 Spirals. From Theodorus to chaos. With contributions by Walter Gautschi and Arieh Iserles. Zbl 0940.00002Davis, Philip J. 12 1993 On the computation of highly oscillatory multivariate integrals with stationary points. Zbl 1106.65020Iserles, A.; Nørsett, S. P. 12 2006 Embedding of delay equations into an infinite-dimensional ODE system. Zbl 0817.34045Feldstein, Alan; Iserles, Arieh; Levin, David 11 1995 On orthogonal polynomials transformed by the QR algorithm. Zbl 0764.65008Buhmann, M. D.; Iserles, A. 11 1992 On the method of Neumann series for highly oscillatory equations. Zbl 1071.65099Iserles, A. 11 2004 Order stars and a saturation theorem for first-order hyperbolics. Zbl 0493.65039Iserles, Arieh 11 1982 The computation of the spectra of highly oscillatory Fredholm integral operators. Zbl 1238.65123Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P. 11 2011 From high oscillation to rapid approximation. IV: Accelerating convergence. Zbl 1218.65154Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P. 10 2011 Bi-orthogonality and zeros of transformed polynomials. Zbl 0636.42022Iserles, Arieh; Nørsett, Syvert P. 9 1987 Unified approach to spurious solutions introduced by time discretization. II: BDF-like methods. Zbl 0760.65071Iserles, A.; Stuart, A. M. 9 1992 Order stars and rational approximants to exp(z). Zbl 0674.65043Iserles, Arieh; Nørsett, Syvert P. 9 1989 On the A-acceptability of rational approximations that interpolate the exponential function. Zbl 0472.41013Iserles, A.; Powell, M. J. D. 9 1981 Zeros of transformed polynomials. Zbl 0698.33007Iserles, Arieh; Nørsett, Syvert P. 9 1990 On numerical methods for highly oscillatory problems in circuit simulation. Zbl 1183.78018Condon, Marissa; Deaño, Alfredo; Iserles, Arieh; Maczynski, Kornel; Xu, Tao 9 2009 Efficient methods for linear Schrödinger equation in the semiclassical regime with time-dependent potential. Zbl 1372.65280Bader, Philipp; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav 8 2016 On systems of differential equations with extrinsic oscillation. Zbl 1207.65093Condon, Marissa; Deaño, Alfredo; Iserles, Arieh 8 2010 Spectral theory of large Wiener-Hopf operators with complex-symmetric kernels and rational symbols. Zbl 1227.47015Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh 7 2011 Approximately preserving symmetries in the numerical integration of ordinary differential equations. Zbl 0939.65139Iserles, Arieh; McLachlan, Robert; Zanna, Antonella 7 1999 Integro-differential equations and generalized hypergeometric functions. Zbl 0880.45005Iserles, Arieh; Liu, Yunkang 7 1997 On the singular values and eigenvalues of the Fox-Li and related operators. Zbl 1233.47022Böttcher, Albrecht; Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P. 7 2010 A generalization of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals. Zbl 1380.65056Gao, Jing; Iserles, Arieh 6 2017 Numerical analysis of functional equations with a variable delay. Zbl 0795.65048Buhmann, M.; Iserles, A. 6 1992 The asymptotic behaviour of certain difference equations with proportional delays. Zbl 0808.39008Iserles, A. 6 1994 Asymptotic expansion and quadrature of composite highly oscillatory integrals. Zbl 1213.65045Iserles, Arieh; Levin, David 6 2011 Time symmetry and high-order Magnus methods. Zbl 0996.65071Iserles, A.; Nørsett, S. P.; Rasmussen, A. F. 6 2001 Beyond the classical theory of computational ordinary differential equations. Zbl 0886.65073Iserles, Arieh 6 1997 Barriers to stability. Zbl 0529.65058Strang, Gilbert; Iserles, Arieh 6 1983 Composite exponential approximations. Zbl 0484.65050Iserles, Arieh 6 1982 Explicit adaptive symplectic integrators for solving Hamiltonian systems. Zbl 1266.37045Blanes, Sergio; Iserles, Arieh 6 2012 Applications of Magnus expansions and pseudospectra to Markov processes. Zbl 1427.60167Iserles, A.; Macnamara, S. 6 2019 On skew-symmetric differentiation matrices. Zbl 1288.65121Iserles, Arieh 5 2014 Remarks on the behaviour of zeros of best approximating polynomials and rational functions. Zbl 0627.41009Blatt, H.-P.; Iserles, A.; Saff, E. B. 5 1987 Bi-orthogonality in rational approximation. Zbl 0627.41011Iserles, A.; Saff, E. B. 5 1987 Numerical stability in the presence of variable coefficients. Zbl 1347.65144Hairer, Ernst; Iserles, Arieh 5 2016 Stability and accuracy of semi-discretized finite difference methods. Zbl 0553.65060Iserles, A.; Williamson, R. A. 5 1984 Conservative methods for the Toda lattice equations. Zbl 0963.65130Calvo, M. P.; Iserles, A.; Zanna, A. 5 1999 On an isospectral Lie-Poisson system and its Lie algebra. Zbl 1105.37033Bloch, Anthony M.; Iserles, Arieh 5 2006 From high oscillation to rapid approximation. V: The equilateral triangle. Zbl 1219.65129Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P. 5 2011 Quadrature methods for stiff ordinary differential systems. Zbl 0477.65052Iserles, A. 5 1981 Quadrature methods for highly oscillatory singular integrals. Zbl 1474.65056Gao, Jing; Condon, Marissa; Iserles, Arieh; Gilvey, Benjamin; Trevelyan, Jon 3 2021 Fast computation of orthogonal systems with a skew-symmetric differentiation matrix. Zbl 07360989Iserles, Arieh; Webb, Marcus 1 2021 A family of orthogonal rational functions and other orthogonal systems with a skew-Hermitian differentiation matrix. Zbl 1459.42006Iserles, Arieh; Webb, Marcus 2 2020 Applications of Magnus expansions and pseudospectra to Markov processes. Zbl 1427.60167Iserles, A.; Macnamara, S. 6 2019 Orthogonal systems with a skew-symmetric differentiation matrix. Zbl 1428.42048Iserles, Arieh; Webb, Marcus 5 2019 Solving Schrödinger equation in semiclassical regime with highly oscillatory time-dependent potentials. Zbl 1416.81064Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav 4 2019 Spectral computation of highly oscillatory integral equations in laser theory. Zbl 1452.65400Gao, Jing; Condon, Marissa; Iserles, Arieh 2 2019 Solving the wave equation with multifrequency oscillations. Zbl 1434.65200Condon, Marissa; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav 1 2019 Computing highly oscillatory integrals. Zbl 1400.65004Deaño, Alfredo; Huybrechs, Daan; Iserles, Arieh 20 2018 Symmetric and arbitrarily high-order Birkhoff-Hermite time integrators and their long-time behaviour for solving nonlinear Klein-Gordon equations. Zbl 1380.65052Liu, Changying; Iserles, Arieh; Wu, Xinyuan 13 2018 Magnus-Lanczos methods with simplified commutators for the Schrödinger equation with a time-dependent potential. Zbl 1395.65102Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav 3 2018 An adaptive Filon algorithm for highly oscillatory integrals. Zbl 1405.65028Gao, Jing; Iserles, Arieh 1 2018 A generalization of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals. Zbl 1380.65056Gao, Jing; Iserles, Arieh 6 2017 Error analysis of the extended filon-type method for highly oscillatory integrals. Zbl 1396.65081Gao, Jing; Iserles, Arieh 2 2017 Banded, stable, skew-symmetric differentiation matrices of high order. Zbl 1433.65138Hairer, Ernst; Iserles, Arieh 1 2017 Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems. Zbl 1341.65029Wang, Bin; Iserles, Arieh; Wu, Xinyuan 60 2016 Efficient methods for linear Schrödinger equation in the semiclassical regime with time-dependent potential. Zbl 1372.65280Bader, Philipp; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav 8 2016 Numerical stability in the presence of variable coefficients. Zbl 1347.65144Hairer, Ernst; Iserles, Arieh 5 2016 The joy and pain of skew symmetry. Zbl 1357.65151Iserles, Arieh 3 2016 From orthogonal polynomials on the unit circle to functional equations via generating functions. Zbl 1335.42028Cantero, María José; Iserles, Arieh 3 2016 On asymptotic expansion solvers for highly oscillatory semi-explicit DAEs. Zbl 1351.65055Condon, Marissa; Gao, Jing; Iserles, Arieh 1 2016 The unified transform in polygonal domains via the explicit Fourier transform of Legendre polynomials. Zbl 1346.65061Fokas, A. S.; Iserles, A.; Smitheman, S. A. 3 2015 Asymptotic solvers for ordinary differential equations with multiple frequencies. Zbl 1331.65095Condon, Marissa; Deaño, Alfredo; Gao, Jing; Iserles, Arieh 3 2015 Numerical solution of Sturm-Liouville problems via Fer streamers. Zbl 1331.65108Ramos, Alberto Gil C. P.; Iserles, Arieh 3 2015 Effective approximation for the semiclassical Schrödinger equation. Zbl 1302.65230Bader, Philipp; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav 18 2014 On skew-symmetric differentiation matrices. Zbl 1288.65121Iserles, Arieh 5 2014 Differential equations with general highly oscillatory forcing terms. Zbl 1371.34083Condon, M.; Iserles, A.; Nørsett, S. P. 3 2014 Asymptotic solvers for second-order differential equation systems with multiple frequencies. Zbl 1311.65090Condon, Marissa; Deaño, Alfredo; Gao, Jing; Iserles, Arieh 2 2014 Dirichlet series for dynamical systems of first-order ordinary differential equations. Zbl 1291.37103Wang, Bin; Iserles, Arieh 1 2014 Highly oscillatory diffusion-type equations. Zbl 1299.35011Altınbaşak, Sevda Üsküplü; Condon, Marissa; Deaño, Alfredo; Iserles, Arieh 2 2013 Three stories of high oscillation. Zbl 1360.65189Iserles, Arieh 2 2013 On expansions in orthogonal polynomials. Zbl 1277.42029Cantero, María José; Iserles, Arieh 1 2013 Explicit adaptive symplectic integrators for solving Hamiltonian systems. Zbl 1266.37045Blanes, Sergio; Iserles, Arieh 6 2012 The Fox-Li operator as a test and a spur for Wiener-Hopf theory. Zbl 1317.47027Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh 4 2012 From high oscillation to rapid approximation. II: Expansions in Birkhoff series. Zbl 1364.65232Adcock, Ben; Iserles, Arieh; Nørsett, Syvert P. 4 2012 Efficient computation of delay differential equations with highly oscillatory terms. Zbl 1270.65032Condon, Marissa; Deaño, Alfredo; Iserles, Arieh; Kropielnicka, Karolina 4 2012 On rapid computation of expansions in ultraspherical polynomials. Zbl 1241.42023Cantero, María José; Iserles, Arieh 3 2012 First-order trace formulae for the iterates of the Fox-Li operator. Zbl 1270.47024Böttcher, Albrecht; Grudsky, Sergei; Huybrechs, Daan; Iserles, Arieh 3 2012 A fast and simple algorithm for the computation of Legendre coefficients. Zbl 1211.33001Iserles, Arieh 13 2011 The computation of the spectra of highly oscillatory Fredholm integral operators. Zbl 1238.65123Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P. 11 2011 From high oscillation to rapid approximation. IV: Accelerating convergence. Zbl 1218.65154Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P. 10 2011 Spectral theory of large Wiener-Hopf operators with complex-symmetric kernels and rational symbols. Zbl 1227.47015Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh 7 2011 Asymptotic expansion and quadrature of composite highly oscillatory integrals. Zbl 1213.65045Iserles, Arieh; Levin, David 6 2011 From high oscillation to rapid approximation. V: The equilateral triangle. Zbl 1219.65129Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P. 5 2011 Asymptotic solvers for oscillatory systems of differential equations. Zbl 1242.65132Condon, Marissa; Deaño, Alfredo; Iserles, Arieh 4 2011 Magnus expansions and beyond. Zbl 1291.65253Iserles, Arieh 2 2011 Acta Numerica 1992. Reprint of the 1992 hardback ed. Zbl 1207.00045 1 2011 The spectral problem for a class of highly oscillatory Fredholm integral operators. Zbl 1185.45002Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P. 20 2010 On second-order differential equations with highly oscillatory forcing terms. Zbl 1194.34019Condon, Marissa; Deaño, Alfredo; Iserles, Arieh 13 2010 On systems of differential equations with extrinsic oscillation. Zbl 1207.65093Condon, Marissa; Deaño, Alfredo; Iserles, Arieh 8 2010 On the singular values and eigenvalues of the Fox-Li and related operators. Zbl 1233.47022Böttcher, Albrecht; Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P. 7 2010 A first course in the numerical analysis of differential equations. 2nd ed. Zbl 1171.65060Iserles, Arieh 130 2009 Highly oscillatory problems. Zbl 1170.37002 20 2009 From high oscillation to rapid approximation. III: Multivariate expansions. Zbl 1188.65149Iserles, Arieh; Nørsett, Syvert P. 15 2009 On highly oscillatory problems arising in electronic engineering. Zbl 1172.78009Condon, Marissa; Deaño, Alfredo; Iserles, Arieh 14 2009 On numerical methods for highly oscillatory problems in circuit simulation. Zbl 1183.78018Condon, Marissa; Deaño, Alfredo; Iserles, Arieh; Maczynski, Kornel; Xu, Tao 9 2009 A class of integrable flows on the space of symmetric matrices. Zbl 1231.37030Bloch, Anthony M.; Brînzănescu, Vasile; Iserles, Arieh; Marsden, Jerrold E.; Ratiu, Tudor S. 5 2009 From high oscillation to rapid approximation. I: Modified Fourier expansions. Zbl 1221.65348Iserles, Arieh; Nørsett, Syvert P. 30 2008 B-series methods cannot be volume-preserving. Zbl 1128.65054Iserles, A.; Quispel, G. R. W.; Tse, P. S. P. 21 2007 Quadrature methods for multivariate highly oscillatory integrals using derivatives. Zbl 1095.65019Iserles, Arieh; Nørsett, Syvert P. 28 2006 Highly oscillatory quadrature: the story so far. Zbl 1119.65317Iserles, A.; Nørsett, S. P.; Olver, S. 24 2006 Explicit Magnus expansions for nonlinear equations. Zbl 1095.65060Casas, Fernando; Iserles, Arieh 16 2006 On the computation of highly oscillatory multivariate integrals with stationary points. Zbl 1106.65020Iserles, A.; Nørsett, S. P. 12 2006 On an isospectral Lie-Poisson system and its Lie algebra. Zbl 1105.37033Bloch, Anthony M.; Iserles, Arieh 5 2006 Report 14/2006: Geometric Numerical Integration (March 19th – March 25th, 2006). Zbl 1109.65301 1 2006 Efficient quadrature of highly oscillatory integrals using derivatives. Zbl 1145.65309Iserles, Arieh; Nørsett, Syvert P. 164 2005 On the numerical quadrature of highly-oscillating integrals. II: Irregular oscillators. Zbl 1069.65148Iserles, Arieh 34 2005 Efficient computation of the matrix exponential by generalized polar decompositions. Zbl 1084.65040Iserles, Arieh; Zanna, Antonella 17 2005 Commutators of skew-symmetric matrices. Zbl 1100.17004Bloch, Anthony M.; Iserles, Arieh 4 2005 On the numerical analysis of rapid oscillation. Zbl 1080.65058Iserles, A. 3 2005 Aspects of generalized double-bracket flows. Zbl 1085.34037Bloch, A. M.; Iserles, A. 1 2005 On quadrature methods for highly oscillatory integrals and their implementation. Zbl 1076.65025Iserles, A.; Nørsett, S. P. 103 2004 On the numerical quadrature of highly-oscillating integrals. I: Fourier transforms. Zbl 1061.65149Iserles, Arieh 57 2004 On the method of Neumann series for highly oscillatory equations. Zbl 1071.65099Iserles, A. 11 2004 On the foundations of computational mathematics. Zbl 1060.65005Baxter, B. J. C.; Iserles, A. 3 2003 On the global error of discretization methods for highly-oscillatory ordinary differential equations. Zbl 1027.65107Iserles, Arieh 26 2002 Think globally, act locally: Solving highly-oscillatory ordinary differential equations. Zbl 1016.65050Iserles, Arieh 20 2002 Expansions that grow on trees. Zbl 1126.34310Iserles, Arieh 14 2002 On the discretization of double-bracket flows. Zbl 1019.65049Iserles, Arieh 3 2002 Complexity theory for Lie-group solvers. Zbl 0996.65070Celledoni, Elena; Iserles, Arieh; Nørsett, Syvert P.; Orel, Bojan 1 2002 Methods for the approximation of the matrix exponential in a Lie-algebraic setting. Zbl 1009.65040Celledoni, Elena; Iserles, Arieh 20 2001 On Cayley-transform methods for the discretization of Lie-group equations. Zbl 1014.65060Iserles, A. 16 2001 Time symmetry and high-order Magnus methods. Zbl 0996.65071Iserles, A.; Nørsett, S. P.; Rasmussen, A. F. 6 2001 A Magnus expansion for the equation \(Y^{\prime} = AY - YB\). Zbl 0979.34004Iserles, Arieh 3 2001 Multistep methods on manifolds. Zbl 0974.65077Iserles, Arieh 3 2001 Semi-explicit methods for isospectral flows. Zbl 0976.65110Calvo, Mari Paz; Iserles, Arieh; Zanna, Antonella 3 2001 Numerical analysis in Lie groups. Zbl 0978.65057Iserles, Arieh 1 2001 Acta Numerica 2001. Reprint of the Journal Acta Numerica 10 (2001). Zbl 1231.65007 1 2001 Lie-group methods. Zbl 1064.65147Iserles, Arieh; Munthe-Kaas, Hans Z.; Nørsett, Syvert P.; Zanna, Antonella 174 2000 Approximating the exponential from a Lie algebra to a Lie group. Zbl 0956.65009Celledoni, Elena; Iserles, Arieh 25 2000 Preserving algebraic invariants with Runge-Kutta methods. Zbl 0969.65069Iserles, Arieh; Zanna, Antonella 19 2000 How large is the exponential of a banded matrix? Zbl 0968.22016Iserles, Arieh 16 2000 On the dimension of certain graded Lie algebras arising in geometric integration of differential equations. Zbl 1040.34011Iserles, Arieh; Zanna, Antonella 1 2000 On the solution of lienar differential equations in Lie groups. Zbl 0958.65080Iserles, A.; Nørsett, S. P. 107 1999 Geometric integration: Numerical solution of differential equations on manifolds. Zbl 0933.65142Budd, C. J.; Iserles, A. 36 1999 On the implementation of the method of Magnus series for linear differential equations. Zbl 0933.65077Iserles, A.; Marthinsen, A.; Nørsett, S. P. 27 1999 Approximately preserving symmetries in the numerical integration of ordinary differential equations. Zbl 0939.65139Iserles, Arieh; McLachlan, Robert; Zanna, Antonella 7 1999 Conservative methods for the Toda lattice equations. Zbl 0963.65130Calvo, M. P.; Iserles, A.; Zanna, A. 5 1999 Geometric integration: numerical solution of differential equations on manifolds. Zbl 0929.00019 2 1999 Acta Numerica Vol. 8, 1999. Zbl 0921.00012 1 1999 ...and 94 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,870 Authors 72 Iserles, Arieh 46 Marcellán Español, Francisco 35 Xiang, Shuhuang 31 Wu, Xinyuan 27 Wang, Bin 25 Blanes, Sergio 21 Nørsett, Syvert Paul 15 Casas, Fernando 15 Celledoni, Elena 15 Owren, Brynjulf 14 Chen, Ruyun 13 Brunner, Hermann 13 Moreno-Balcázar, Juan José 13 Sezer, Mehmet 13 Sheng, Qin 13 Zanna, Antonella 12 Huybrechs, Daan 12 Siraj-ul-Islam 12 van Brunt, Bruce 11 Kang, Hongchao 11 Leok, Melvin 11 Liu, Changying 11 Munthe-Kaas, Hans Z. 10 Bader, Philipp 10 Ebrahimi-Fard, Kurusch 10 Liu, Yunkang 10 Ma, Junjie 10 Quispel, Gilles Reinout Willem 10 Sharapudinov, Idris Idrisovich 9 Čermák, Jan 9 Condon, Marissa 9 Deaño, Alfredo 9 Fang, Yonglei 9 Gao, Jing 9 Piñar, Miguel A. 9 Wang, Haiyong 9 Wang, Wansheng 8 Liu, Mingzhu 8 Lopez, Luciano 8 Manchon, Dominique 8 Olver, Sheehan Shakiban 8 Pérez, Teresa E. 8 Ponsoda, Enrique 8 Zaman, Sakhi 7 Adcock, Ben 7 Huang, Chengming 7 McLachlan, Robert I. 7 Meijer, Henk G. 7 Politi, Tiziano 7 Shi, Wei 7 Xu, Yang 6 Böttcher, Albrecht 6 Butcher, John C. 6 Cieśliński, Jan L. 6 Fejzullahu, Bujar Xh. 6 Grudsky, Sergei Mikhailovich 6 Kropielnicka, Karolina 6 Li, Jianbing 6 Liu, Chein-Shan 6 Müller, Andreas 6 Ostapenko, Vladimir Viktorovich 6 Pinzón-Cortés, Natalia Camila 6 Rodríguez García, José Manuel 6 Wake, Graeme Charles 6 Wang, Tao 6 Wang, Xuesong 6 Wu, Qinghua 6 Xiao, Aiguo 6 Xu, Zhenhua 6 You, Xiong 5 Abdi, Ali 5 Area, Iván 5 Asheim, Andreas 5 Băleanu, Dumitru I. 5 Cai, Haotao 5 Godoy, Eduardo Paciência 5 Hashemi, Mir Sajjad 5 Jeltsch, Rolf 5 Jiang, Yaolin 5 Jimenez, Juan Carlos 5 Li, Jiyong 5 Liu, Kai 5 Mohamad, Sannay 5 Montijano, Juan Ignacio 5 Perdikaris, Paris G. 5 Rández, Luis 5 Ranga, A. Sri 5 Rossovskiĭ, Leonid Efimovich 5 Schratz, Katharina 5 Singh, Pranav 5 Sun, Jianqiang 5 Webb, Marcus 5 Xu, Yuesheng 5 Yang, Zhanwen 5 Zaheeruddin, M. 5 Zhao, Jingjun 4 Arnold, Anton 4 Arnold, Martin 4 Bakaryan, Tigran K. 4 Baker, Christopher Thomas Hale ...and 1,770 more Authors all top 5 Cited in 296 Serials 181 Journal of Computational and Applied Mathematics 105 Applied Mathematics and Computation 83 Applied Numerical Mathematics 60 BIT 47 Journal of Computational Physics 44 Numerical Algorithms 36 Journal of Mathematical Analysis and Applications 35 Numerische Mathematik 34 Mathematics of Computation 33 Computers & Mathematics with Applications 31 Foundations of Computational Mathematics 26 International Journal of Computer Mathematics 25 Journal of Scientific Computing 23 Journal of Approximation Theory 17 Applied Mathematics Letters 17 Linear Algebra and its Applications 17 SIAM Journal on Scientific Computing 17 Advances in Computational Mathematics 15 Discrete and Continuous Dynamical Systems 14 SIAM Journal on Numerical Analysis 13 Computer Methods in Applied Mechanics and Engineering 13 Computational and Applied Mathematics 12 Journal of Mathematical Physics 10 Journal of Difference Equations and Applications 9 Numerical Methods for Partial Differential Equations 9 Abstract and Applied Analysis 8 Calcolo 8 Acta Applicandae Mathematicae 8 Physica D 8 Integral Transforms and Special Functions 8 Engineering Analysis with Boundary Elements 8 Communications in Nonlinear Science and Numerical Simulation 8 Advances in Difference Equations 8 Journal of Computational Dynamics 7 Journal of Differential Equations 7 Systems & Control Letters 7 Journal of Complexity 7 Celestial Mechanics and Dynamical Astronomy 7 Communications in Numerical Methods in Engineering 7 Multibody System Dynamics 7 Nonlinear Dynamics 6 Computers and Fluids 6 Journal of the Franklin Institute 6 Mathematical Methods in the Applied Sciences 6 Proceedings of the American Mathematical Society 6 Constructive Approximation 6 Mathematical and Computer Modelling 6 Mathematical Problems in Engineering 6 The ANZIAM Journal 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Frontiers of Mathematics in China 5 Chaos, Solitons and Fractals 5 Automatica 5 Transactions of the American Mathematical Society 5 SIAM Journal on Matrix Analysis and Applications 5 Applied Mathematical Modelling 5 Journal of Mathematical Sciences (New York) 5 Proceedings of the Royal Society of London. 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Mathematical, Physical and Engineering Sciences 2 Acta Mechanica 2 Computer Physics Communications 2 International Journal of Control 2 International Journal for Numerical Methods in Fluids 2 Inverse Problems 2 Journal of Fluid Mechanics 2 Journal of the Mechanics and Physics of Solids 2 Journal of Statistical Physics 2 Letters in Mathematical Physics ...and 196 more Serials all top 5 Cited in 59 Fields 1,006 Numerical analysis (65-XX) 419 Ordinary differential equations (34-XX) 210 Partial differential equations (35-XX) 172 Harmonic analysis on Euclidean spaces (42-XX) 142 Special functions (33-XX) 141 Dynamical systems and ergodic theory (37-XX) 134 Approximations and expansions (41-XX) 83 Mechanics of particles and systems (70-XX) 81 Integral equations (45-XX) 60 Fluid mechanics (76-XX) 59 Probability theory and stochastic processes (60-XX) 54 Linear and multilinear algebra; matrix theory (15-XX) 48 Systems theory; control (93-XX) 42 Quantum theory (81-XX) 39 Operator theory (47-XX) 33 Difference and functional equations (39-XX) 33 Biology and other natural sciences (92-XX) 29 Mechanics of deformable solids (74-XX) 28 Real functions (26-XX) 27 Optics, electromagnetic theory (78-XX) 26 Computer science (68-XX) 25 Differential geometry (53-XX) 23 Functional analysis (46-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 21 Functions of a complex variable (30-XX) 20 Topological groups, Lie groups (22-XX) 19 Combinatorics (05-XX) 19 Nonassociative rings and algebras (17-XX) 17 Statistical mechanics, structure of matter (82-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Integral transforms, operational calculus (44-XX) 15 Statistics (62-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Associative rings and algebras (16-XX) 9 Number theory (11-XX) 9 Information and communication theory, circuits (94-XX) 8 History and biography (01-XX) 7 Operations research, mathematical programming (90-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 General and overarching topics; collections (00-XX) 3 Algebraic geometry (14-XX) 3 Algebraic topology (55-XX) 3 Relativity and gravitational theory (83-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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